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A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, 1, if standard transmission the vehicle weight and x2 = Complete parts a through e. 0, if automatic transmission y = 34.33 -0.003x, +4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. O B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x2. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. OC. The regression coefficient associated with variable x, is the y-intercept. O D. Holding constant the effect of x2 a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. (Simplify your answers. Type integers or decimals.)

A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, 1, if standard transmission the vehicle weight and x2 = Complete parts a through e. 0, if automatic transmission y = 34.33 -0.003x, +4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. O B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x2, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x2. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. OC. The regression coefficient associated with variable x, is the y-intercept. O D. Holding constant the effect of x2 a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. (Simplify your answers. Type integers or decimals.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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*15.2.17 Tutoring Question Help ▼ A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, where x, represents 1, if standard transmission the vehicle weight and x, = . Complete parts a through e. 0, if automatic transmission y = 34.33 - 0.003x, + 4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. O C. The regression coefficient associated with variable x, is the y-intercept. D. Holding constant the effect of x, ,a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. ŷ =+ O (Simplify your answers. Type integers or decimals.)
Transcribed Image Text:*15.2.17 Tutoring Question Help ▼ A study was recently performed by an agency in which it attempted to develop a regression model to explain variation in highway mileage ratings of new cars. At one stage of the analysis, the estimate of the model took the form below, where x, represents 1, if standard transmission the vehicle weight and x, = . Complete parts a through e. 0, if automatic transmission y = 34.33 - 0.003x, + 4.46x2 a. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 0.003. B. The regression coefficient associated with variable x, is the y-intercept. OC. Holding constant the effects of x,, as the vehicle weight decreases by 1 pound, the average highway mileage rating increases by 4.46. O D. Holding constant the effects of x,, as the vehicle weight increases by 1 pound, the average highway mileage rating decreases by 4.46. b. Interpret the regression coefficient for variable x,. Choose the correct answer below. A. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 higher than a car with an automatic transmission. O B. Holding constant the effects of x,, a car with a standard transmission has an average highway mileage rating that is 4.46 lower than a car with an automatic transmission. O C. The regression coefficient associated with variable x, is the y-intercept. D. Holding constant the effect of x, ,a car with an automatic transmission has an average highway mileage rating that is 0.003 lower than a car with a standard transmission. c. Present an estimate of a model that would predict the average highway mileage rating for an automobile with a standard transmission as a function of the vehicle's weight. ŷ =+ O (Simplify your answers. Type integers or decimals.)
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